DLMF:4.18.E4 (Q1672)

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DLMF:4.18.E4
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    Statements

    Defining formula
    π < sin ⁡ ( π ⁢ x ) x ⁢ ( 1 - x ) ≤ 4 , 𝜋 𝜋 𝑥 𝑥 1 𝑥 4 {\displaystyle{\displaystyle\pi<\frac{\sin\left(\pi x\right)}{x(1-x)}\leq 4,}}
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    DLMF id
    DLMF:4.18.E4
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    constraint
    0 < x < 1 0 𝑥 1 {\displaystyle{\displaystyle 0<x<1}}
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    Symbols used
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2acdec
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    sine function
    Defining formula
    sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}
    xml-id
    C4.S14.E1.m2abdec
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    Q11218
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C4.S1.XMD6.m1cdec
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